Frequency Response Functions for Nonlinear Convergent Systems

Author

Pavlov, Alexey ; Van de Wouw, Nathan ; Nijmeijer, Henk

Author_Institution

Norwegian Univ. of Sci. & Technol., Trondheim

Volume

52

Issue

6

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

1159

Lastpage

1165

Abstract

Convergent systems constitute a practically important class of nonlinear systems that extends the class of asymptotically stable linear time-invariant systems. In this note, we extend frequency response functions defined for linear systems to nonlinear convergent systems. Such nonlinear frequency response functions for convergent systems give rise to nonlinear Bode plots, which serve as a graphical tool for performance analysis of nonlinear convergent systems in the frequency domain. The results are illustrated with an example.

Keywords

asymptotic stability; frequency response; linear systems; nonlinear control systems; asymptotically stable linear time-invariant systems; frequency domain; frequency response functions; nonlinear Bode plots; nonlinear convergent systems; Control systems; Electrical equipment industry; Frequency domain analysis; Frequency response; Linear systems; Nonlinear control systems; Nonlinear systems; Optical control; Performance analysis; Steady-state; Convergent systems; differential inclusions; frequency response functions; nonlinear systems; performance analysis;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2007.899020

Filename

4237316